Search a number
-
+
542393380 = 225192983593
BaseRepresentation
bin100000010101000…
…100010000100100
31101210121102211201
4200111010100210
52102323042010
6125453212244
716304160544
oct4025042044
91353542751
10542393380
112591921a1
12131791084
13884a9139
145206d324
153293e23a
hex20544424

542393380 has 96 divisors (see below), whose sum is σ = 1257379200. Its totient is φ = 195729408.

The previous prime is 542393339. The next prime is 542393389. The reversal of 542393380 is 83393245.

It is not an unprimeable number, because it can be changed into a prime (542393389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914364 + ... + 914956.

It is an arithmetic number, because the mean of its divisors is an integer number (13097700).

Almost surely, 2542393380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542393380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628689600).

542393380 is an abundant number, since it is smaller than the sum of its proper divisors (714985820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542393380 is a wasteful number, since it uses less digits than its factorization.

542393380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 542393380 is about 23289.3404801424. The cubic root of 542393380 is about 815.5265920722.

The spelling of 542393380 in words is "five hundred forty-two million, three hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 83 95 116 145 166 190 290 332 380 415 551 580 593 830 1102 1186 1577 1660 2204 2372 2407 2755 2965 3154 4814 5510 5930 6308 7885 9628 11020 11267 11860 12035 15770 17197 22534 24070 31540 34394 45068 45733 48140 49219 56335 68788 85985 91466 98438 112670 171970 182932 196876 225340 228665 246095 326743 343940 457330 492190 653486 914660 935161 984380 1306972 1427351 1633715 1870322 2854702 3267430 3740644 4675805 5709404 6534860 7136755 9351610 14273510 18703220 27119669 28547020 54239338 108478676 135598345 271196690 542393380